The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-3, 1) and (2, -4). Substitute:
![m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-4-1%7D%7B2-%28-3%29%7D%3D%5Cdfrac%7B-5%7D%7B5%7D%3D-1)
Therefore we have the equation of a line
![y=-1x+b\to y=-x+b](https://tex.z-dn.net/?f=y%3D-1x%2Bb%5Cto%20y%3D-x%2Bb)
Put the coordinates of the point (-3, 1) to the equation:
![1=-(-3)+b](https://tex.z-dn.net/?f=1%3D-%28-3%29%2Bb)
<em>subtract 3 from both sides</em>
![-2=b\to b=-2](https://tex.z-dn.net/?f=-2%3Db%5Cto%20b%3D-2)
<h3>Answer: y = -x - 2</h3>
How to solve:
Step 1 : Note down the given ratio from the questions.
Step 2 : <span>Find the greatest common factor, and divide the numerator and denominator by that value.
Answer: 3:7</span>
Answer: 3/4
Step-by-step explanation:
1. square root the denominator and nominator, 36= 6 and 64= 8
2. put them together (6/8)
3. simplify 6/8
4. 6/8 divided by 2
5. 3/4 is your answer
C, since the radius is 10 multiply by 2 and 100 x 3.14 is 314